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Discrete Math and Analyzing Social Graphs
Week 5
Distances

QuizQuiz • 15 min15 minutes

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Due DateMar 23, 3:59 AM EDTMarch 23, 3:59 AM EDT

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Distances

Graded Quiz • 15 min

Due Mar 23, 3:59 AM EDT

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Distances

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1.

Question 1

Calculate the distance between vertices a and d in this graph?

1 / 1 point

3

Correct

The shortest path from a to d is a-b-c-d, it includes 3 edges.

2.

Question 2

Calculate the eccentricity of vertex c in this graph.

2 / 2 points

3

Correct

The eccentricity of c is the maximal possible distance from c to another vertex. In our example, it is the distance from c to f.

3.

Question 3

A graph has radius 3. What is the maximal possible diameter of this graph?

2 / 2 points

6

Correct

The diameter cannot be more than twice bigger than the radius. On the other hand, there exists an example of a graph with radius 3 and diameter 6.